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On the initial conditions for inflation with plateau potentials: the R+R² (super)gravity case

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arxiv 1502.01246 v3 pith:D3XVGODD submitted 2015-02-04 gr-qc hep-th

On the initial conditions for inflation with plateau potentials: the $R+R^2$ (super)gravity case

classification gr-qc hep-th
keywords inflationconditionsinitialfieldsplateauproblemacausalauxiliary
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

We discuss the initial conditions problem for inflation driven by the vacuum energy of a plateau potential, and in particular the Starobinsky inflation. We show that the supergravity embedding of the $R+R^2$ theory naturally decreases the size of the acausal homogeneity, required for the low-scale inflation to occur, thanks to the presence of the dynamical pure supergravitational "auxiliary" fields. We examine the evolution of the $R+R^2$ fields within a FLRW Universe. We also find a dependence of the initial conditions problem on the background spatial curvature.

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